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Finding the Fourth Proportional to 532.29, 734.53 and 311.21

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Solution

The fourth proportional to 532.29, 734.53 and 311.21 is: 429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.29 : 734.53 = 311.21 : x
  2. Step 2: Convert to fraction form
    532.29/734.53 = 311.21/x
  3. Step 3: Cross multiply
    532.29x = 734.53 × 311.21
  4. Step 4: Simplify right side
    532.29x = 228,593.08
  5. Step 5: Solve for x
    x = 228,593.08/532.29
  6. Step 6: Final answer
    x = 429.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.